Information on Result #734825
Linear OA(6471, 4226, F64, 27) (dual of [4226, 4155, 28]-code), using (u, u+v)-construction based on
- linear OA(6418, 128, F64, 13) (dual of [128, 110, 14]-code), using
- extended algebraic-geometric code AGe(F,114P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6471, 2113, F64, 2, 27) (dual of [(2113, 2), 4155, 28]-NRT-code) | [i] | OOA Folding | |